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Johannes Kepler
(27 Dec 1571 - 15 Nov 1630)

German astronomer who formulated three major laws of planetary motion which enabled Isaac Newton to devise the law of gravitation. Working from the carefully measured positions of the planets recorded by Tycho Brahe, Kepler mathematically deduced his three laws from the data.


Science Quotes by Johannes Kepler (57 quotes)

>> Click for Johannes Kepler Quotes on | Geometry | God | Heaven |

[The sun] … which alone we should judge to be worthy of the most high God, if He should be pleased with a material domicile, and choose a place in which to dwell with the blessed angels.
— Johannes Kepler
As translated in Edwin Arthur Burtt, 'Kepler’s Early Acceptance of the New World-Scheme', The Metaphysical Foundations of Modern Physical Science: A Historical and and Critical Essay (1925), 48. From the Latin [as best as Webmaster can tell]: “[solem] … unum dignum omnes aestimaremus, in quo Deus Opt. Max., si corporeo domicilio delectaretur et capi loco posset, cum beatis angelis inhabitaret,” in Christian Frisch (ed.), Opera Omnia, Vol. 8, Part 1, 267.
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At ubi materia, ibi Geometria.
Where there is matter, there is geometry.
— Johannes Kepler
Concerning the More Certain Fundamentals of Astrology (1601, 2003), 7. Latin text quoted in Ian Maclean, Logic, Signs and Nature in the Renaissance: The Case of Learned Medicine (2007), 188.
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Temporis filia veritas; cui me obstetricari non pudet.
Truth is the daughter of time, and I feel no shame in being her midwife.
— Johannes Kepler
Opening remark from 'Narratio de observatis a se quatuor Jovis satellitibus erronibus, quos Galilaeus Galilaeus Mathematicus Florentinus jure inventionis medicaea sidera nuncupavit' (Account of personal observations of the four moving satellites of Jupiter, which Florentine Mathematician Galileo Galilei had the right of discovery to Name as the Medicicaean Stars) (observed 30 Aug 1610, written 11 Sep 1610, printed about Oct 1610) in which he confirmed having seen the things announced by Galileo in Mar 1610. Collected in Cav. Giambatista Venturi, Memorie e Lettere Inedite Finora o Disperse di Galileo Galilei (Memoirs and Letters, Previously Unpublished or Missing, of Galileo Galilei) (1811), Vol 1, 144.
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Theologus esse volebam: diu angebar: Deus ecce mea opera etiam in astronomia celebratur.
I wanted to become a theologian. For a long time I was restless. Now, however, behold how through my effort God is being celebrated in astronomy.
— Johannes Kepler
Letter to Michael Maestlin (3 Oct 1595). Johannes Kepler Gesammelte Werke (1937- ), Vol. 13, letter 23, l. 256-7, p. 40. As translated in Owen Gingerich, 'Johannes Kepler' article in Charles Coulston Gillespie (ed.) Dictionary of Scientific Biography (1973), Vol. 7, 291. Also seen translated as “I wanted to become a theologian; for a long time I was unhappy. Now, behold, God is praised by my work even in astronomy.”
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~~[Dubious]~~ I demonstrate by means of philosophy that the earth is round, and is inhabited on all sides; that it is insignificantly small, and is borne through the stars.
— Johannes Kepler
Included here to add a caution. As quoted in Paul Lyle, The Abyss of Time: A Study in Geological Time and Earth History (2015), 38, citing Astronomia Nova (1609). Webmaster has not yet been able to find in a primary source, so cannot vouch for this quote. Can you help?
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A mind is accustomed to mathematical deduction, when confronted with the faulty foundations of astrology, resists a long, long time, like an obstinate mule, until compelled by beating and curses to put its foot into that dirty puddle.
— Johannes Kepler
As quoted in Arthur Koestler, The Sleep Walkers: A History of Man’s Changing Vision of the Universe (1959), 243, citing De Stella Nova in Pede Serpentarii (1606).
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After a tremendous task has been begun in our time, first by Copernicus and then by many very learned mathematicians, and when the assertion that the earth moves can no longer be considered something new, would it not be much better to pull the wagon to its goal by our joint efforts, now that we have got it underway, and gradually, with powerful voices, to shout down the common herd, which really does not weigh arguments very carefully?
— Johannes Kepler
Letter to Galileo (13 Oct 1597). In James Bruce Ross (ed.) and Mary Martin (ed., trans.), 'Comrades in the Pursuit of Truth', The Portable Renaissance Reader (1953, 1981), 599. As quoted and cited in Merry E. Wiesner, Early Modern Europe, 1450-1789 (2013), 377.
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After the birth of printing books became widespread. Hence everyone throughout Europe devoted himself to the study of literature... Every year, especially since 1563, the number of writings published in every field is greater than all those produced in the past thousand years. Through them there has today been created a new theology and a new jurisprudence; the Paracelsians have created medicine anew and the Copernicans have created astronomy anew. I really believe that at last the world is alive, indeed seething, and that the stimuli of these remarkable conjunctions did not act in vain.
— Johannes Kepler
De Stella Nova, On the New Star (1606), Johannes Kepler Gesammelte Werke (1937- ), Vol. 1, 330-2. Quoted in N. Jardine, The Birth of History and Philosophy of Science: Kepler's A Defence of Tycho Against Ursus With Essays on its Provenance and Significance (1984), 277-8.
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And from this such small difference of eight minutes [of arc] it is clear why Ptolemy, since he was working with bisection [of the linear eccentricity], accepted a fixed equant point… . For Ptolemy set out that he actually did not get below ten minutes [of arc], that is a sixth of a degree, in making observations. To us, on whom Divine benevolence has bestowed the most diligent of observers, Tycho Brahe, from whose observations this eight-minute error of Ptolemy’s in regard to Mars is deduced, it is fitting that we accept with grateful minds this gift from God, and both acknowledge and build upon it. So let us work upon it so as to at last track down the real form of celestial motions (these arguments giving support to our belief that the assumptions are incorrect). This is the path I shall, in my own way, strike out in what follows. For if I thought the eight minutes in [ecliptic] longitude were unimportant, I could make a sufficient correction (by bisecting the [linear] eccentricity) to the hypothesis found in Chapter 16. Now, because they could not be disregarded, these eight minutes alone will lead us along a path to the reform of the whole of Astronomy, and they are the matter for a great part of this work.
— Johannes Kepler
Astronomia Nova, New Astronomy (1609), ch. 19, 113-4, Johannes Kepler Gesammelte Werke (1937-), Vol. 3, 177-8.
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And if you want the exact moment in time, it was conceived mentally on 8th March in this year one thousand six hundred and eighteen, but submitted to calculation in an unlucky way, and therefore rejected as false, and finally returning on the 15th of May and adopting a new line of attack, stormed the darkness of my mind. So strong was the support from the combination of my labour of seventeen years on the observations of Brahe and the present study, which conspired together, that at first I believed I was dreaming, and assuming my conclusion among my basic premises. But it is absolutely certain and exact that the proportion between the periodic times of any two planets is precisely the sesquialterate proportion of their mean distances.
— Johannes Kepler
Harmonice Mundi, The Harmony of the World (1619), book V, ch. 3. Trans. E. J. Aiton, A. M. Duncan and J. V. Field (1997), 411.
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As soon as somebody demonstrates the art of flying, settlers from our species of man will not be lacking [on the moon and Jupiter]… Given ships or sails adapted to the breezes of heaven, there will be those who will not shrink from even that vast expanse.
— Johannes Kepler
(1610) As translated by Edward Rosen in Kepler’s Conversation with Galileo’s Sidereal Messenger (1965), 39.
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Geometry is one and eternal shining in the mind of God. That share in it accorded to men is one of the reasons that Man is the image of God.
— Johannes Kepler
Conversation with the Sidereal Messenger [an open letter to Galileo Galilei], Dissertatio cum Nuncio Sidereo (1610), in Johannes Kepler Gesammelte Werke (1937- ), Vol. 4, 308, ll. 9-10.
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Geometry is unique and eternal, a reflection of the mind of God. That men are able to participate in it is one of the reasons why man is an image of God.
— Johannes Kepler
As quoted in Epilogue, The Sleepwalkers: A History of Man’s Changing Vision of the Universe (1959), 524, citing Letter (9 or 10 April 1599) to Herwart von Hohenburg.
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Geometry, which before the origin of things was coeternal with the divine mind and is God himself (for what could there be in God which would not be God himself?), supplied God with patterns for the creation of the world, and passed over to Man along with the image of God; and was not in fact taken in through the eyes.
— Johannes Kepler
Harmonice Mundi, The Harmony of the World (1619), book IV, ch. 1. Trans. E. J. Aiton, A. M. Duncan and J. V. Field (1997), 304.
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He who ascribes the movement of the seas to the movement of the earth assumes a purely forced movement; but he who lets the seas follow the moon makes this movement in a certain way a natural one.
— Johannes Kepler
As quoted in James Bruce Ross and Mary Martin McLaughlin, The Portable Renaissance Reader (1968), 603.
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However, before we come to [special] creation, which puts an end to all discussion: I think we should try everything else.
— Johannes Kepler
De Stella Nova, On the New Star (1606), Chapter 22, in Johannes Kepler Gesammelte Werke (1937-), Vol. 1, 257, ll. 23-4.
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I also ask you my friends not to condemn me entirely to the mill of mathematical calculations, and allow me time for philosophical speculations, my only pleasures.
— Johannes Kepler
Letter to Vincenzo Bianchi (17 Feb 1619). Johannes Kepler Gesammelte Werke (1937- ), Vol. 17, letter 827, l. 249-51, p. 327.
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I am a Lutheran astrologer, I throw away the nonsense and keep the hard kernel.
— Johannes Kepler
Letter to Michael Maestlin (15 Mar 1598). Johannes Kepler Gesammelte Werke (1937- ), Vol. 13, letter 68, l. 177, p.184.
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I am merely thinking God’s thoughts after him.
— Johannes Kepler
Attributed. Could be a boiled down version of a longer quote that includes: “God wanted us to … share in his own thoughts.” (Included here; it begins “Those laws [of nature] are…”) This capsulized version is widely seen linked with Kepler’s name, but never with a citation, for example, in Thomas Winthrop Coit, Inaugural Address Delivered in the Chapel of Morrison College (Nov 1835), 32. As far as Webmaster can determine, historians of science have not found any primary source in which Kepler himself expresses this idea in exactly these words. In a 2001 discussion group post, Ted Davis reported: “I know Kepler pretty well and have searched for it. I’ve also asked Owen Gingerich, who knows Kepler as well as anyone alive, and he can’t confirm it either.”
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I am much occupied with the investigation of the physical causes [of motions in the Solar System]. My aim in this is to show that the celestial machine is to be likened not to a divine organism but rather to a clockwork … insofar as nearly all the manifold movements are carried out by means of a single, quite simple magnetic force. This physical conception is to be presented through calculation and geometry.
— Johannes Kepler
Letter to Ilerwart von Hohenburg (10 Feb 1605) Quoted in Holton, Johannes Kepler's Universe: Its Physics and Metaphysics, 342, as cited by Hylarie Kochiras, Force, Matter, and Metaphysics in Newton's Natural Philosophy (2008), 57.
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I am stealing the golden vessels of the Egyptians to build a tabernacle to my God from them, far far away from the boundaries of Egypt. If you forgive me, I shall rejoice; if you are enraged with me, I shall bear it. See, I cast the die, and I write the book. Whether it is to be read by the people of the present or of the future makes no difference: let it await its reader for a hundred years, if God himself has stood ready for six thousand years for one to study him.
— Johannes Kepler
Harmonice Mundi, The Harmony of the World (1619), end of Introduction to Book V. Trans. E. J. Aiton, A. M. Duncan and J. V. Field (1997), 391.
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I can certainly wish for new, large, and properly constructed instruments, and enough of them, but to state where and by what means they are to be procured, this I cannot do. Tycho Brahe has given Mastlin an instrument of metal as a present, which would be very useful if Mastlin could afford the cost of transporting it from the Baltic, and if he could hope that it would travel such a long way undamaged… . One can really ask for nothing better for the observation of the sun than an opening in a tower and a protected place underneath.
— Johannes Kepler
As quoted in James Bruce Ross and Mary Martin McLaughlin, The Portable Renaissance Reader (1968), 605.
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I much prefer the sharpest criticism of a single intelligent man to the thoughtless approval of the great masses.
— Johannes Kepler
Letter (13 Oct 1597) to Galileo, who had just replied with thanks for the book Kepler sent him. As quoted in translation in Jackson J. Spielvogel, Western Civilization: Alternate Volume: Since 1300 (2010), Vol. 2, 494.
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I myself, a professional mathematician, on re-reading my own work find it strains my mental powers to recall to mind from the figures the meanings of the demonstrations, meanings which I myself originally put into the figures and the text from my mind. But when I attempt to remedy the obscurity of the material by putting in extra words, I see myself falling into the opposite fault of becoming chatty in something mathematical.
— Johannes Kepler
Astronomia Nova, New Astronomy, (1609), Introduction, second paragraph.
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I thank thee, O Lord, our Creator, that thou hast permitted me to look at the beauty in thy work of creation; I exult in the works of thy hands. See, I have completed the work to which I felt called; I have earned interest from the talent that thou hast given me. I have proclaimed the glory of thy works to the people who will read these demonstrations, to the extent that the limitations of my spirit would allow.
— Johannes Kepler
From Harmonia Mundi (1619), as cited in Philip Davis with Reuben Hersh, in The Mathematical Experience (1981), 111.
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I used to measure the Heavens, now I measure the shadows of Earth. The mind belonged to Heaven, the body’s shadow lies here.
— Johannes Kepler
Epitaph that Kepler wrote for himself, a few months before he died. As translated from the original Latin, “Mensus eram coelos, nunc Terrae metior umbras. Mens coelestis erat, corporis umbra jacet.” In M. Caspar et al. (eds.), Johannes Kepler Gesammelte Werke (1937), 19, 393.
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If there is anything that can bind the heavenly mind of man to this dreary exile of our earthly home and can reconcile us with our fate so that one can enjoy living,—then it is verily the enjoyment of the mathematical sciences and astronomy.
— Johannes Kepler
In a letter to his son-in-law, Jakob Bartsch. Quoted in Norman Davidson, Sky Phenomena (2004), 131. Also see Johannes Kepler and Carola Baumgardt (ed.), Johannes Kepler: Life and Letters (1951), 190.
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If this [the Mysterium cosmographicum] is published, others will perhaps make discoveries I might have reserved for myself. But we are all ephemeral creatures (and none more so than I). I have, therefore, for the Glory of God, who wants to be recognized from the book of Nature, that these things may be published as quickly as possible. The more others build on my work the happier I shall be.
— Johannes Kepler
Letter to Michael Maestlin (3 Oct 1595). Johannes Kepler Gesammelte Werke (1937- ), Vol. 13, letter 23, l. 251, p. 39-40.
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It is a right, yes a duty, to search in cautious manner for the numbers, sizes, and weights, the norms for everything [God] has created. For He himself has let man take part in the knowledge of these things ... For these secrets are not of the kind whose research should be forbidden; rather they are set before our eyes like a mirror so that by examining them we observe to some extent the goodness and wisdom of the Creator.
— Johannes Kepler
Epitome of Copernican Astronomy. In Michael B. Foster, Mystery and Philosophy, 61. Cited by Max Casper and Doris Hellman, trans., ed. Kepler (1954), 381. Cited by Gerald J. Galgan, Interpreting the Present: Six Philosophical Essays (1993), 105. Gerald J. Galgan
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It is no small comfort when I reflect that we should not so much marvel at the vast and almost infinite breadth of the most distant heavens but much more at the smallness of us manikins and the smallness of this our tiny ball of earth and also of all the planets.
— Johannes Kepler
From Letter to Johann Herwart (1598), as quoted in Murray Roston, Milton and the Baroque (1980), 17.
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Mother Astronomy would surely have to suffer hunger if the daughter Astrology did not earn their bread.
— Johannes Kepler
On his having to cast horoscopes to make a living, in The Autobiography of Science edited by Forest Ray Moulton and Justus J. Schifferes (Second Edition) (1960).
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My aim is to say that the machinery of the heavens is not like a divine animal but like a clock (and anyone who believes a clock has a soul gives the work the honour due to its maker) and that in it almost all the variety of motions is from one very simple magnetic force acting on bodies, as in the clock all motions are from a very simple weight.
— Johannes Kepler
Letter to J. G. Herwart von Hohenburg (16 Feb 1605). Johannes Kepler Gesammelte Werke (1937- ), Vol. 15, letter 325, l. 57-61, p. 146.
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Nature … has given us astrology as an adjunct and ally to astronomy.
— Johannes Kepler
As quoted in article by Miss A.M. Clerke, 'Kepler', The Encyclopaedia Britannica (1898), Vol. 14, 46.
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Nature uses as little as possible of anything.
— Johannes Kepler
Harmonice mundi (1619). In Bill Swainson and Anne H. Soukhanov, Encarta Book Of Quotations (2000), 514.
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Nothing holds me ... I will indulge in my sacred fury; I will triumph over mankind by the honest confession that I have stolen the golden vases of the Egyptians to build up a tabernacle for my God, far away from the confines of Egypt. If you forgive me, I rejoice ; if you are angry, I can bear it. The die is cast; the book is written, to be read either now or by posterity, I care not which. It may well wait a century for a reader, as God has waited six thousand years for an observer.
— Johannes Kepler
As given in David Brewster, The Martyrs of Science (1841), 217.
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Now I should like to ask you for an observation; since I possess no instruments, I must appeal to others.
— Johannes Kepler
As quoted in James Bruce Ross and Mary Martin McLaughlin, The Portable Renaissance Reader (1968), 600.
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O telescope, instrument of knowledge, more precious than any sceptre.
— Johannes Kepler
Letter to Galileo (1610). Quoted in Timothy Ferris, Coming of Age in the Milky Way (2003), 95.
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Repudiating the sensible world, which he neither sees himself nor believes from those who have, the Peripatetic joins combat by childish quibbling in a world on paper, and denies the Sun shines because he himself is blind.
— Johannes Kepler
Letter to Galileo Galilei (28 Mar 1611). Johannes Kepler Gesammelte Werke (1937- ), Vol. 16, letter 611, 1. 17-20, p. 372.
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So long as the mother, Ignorance, lives, it is not safe for Science, the offspring, to divulge the hidden causes of things.
— Johannes Kepler
In Somnium (1634).
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So, Fabricius, I already have this: that the most true path of the planet [Mars] is an ellipse, which Dürer also calls an oval, or certainly so close to an ellipse that the difference is insensible.
— Johannes Kepler
Letter to David Fabricius (11 Oct 1605). Johannes Kepler Gesammelte Werke (1937- ), Vol. 15, letter 358, l. 390-92, p. 249.
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Some of what these pamphlets [of astrological forecasts] say will turn out to be true, but most of it time and experience will expose as empty and worthless. The latter part will be forgotten [literally: written on the winds] while the former will be carefully entered in people’s memories, as is usual with the crowd.
— Johannes Kepler
On giving astrology sounder foundations, De fundamentis astrologiae certioribus, (1602), Thesis 2, Johannes Kepler Gesammelte Werke (1937- ), Vol. 4, 12, trans. J. V. Field, in Archive for History of Exact Sciences, 1984, 31, 229-72.
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The cause of the six-sided shape of a snowflake is none other than that of the ordered shapes of plants and of numerical constants; and since in them nothing occurs without supreme reason—not, to be sure, such as discursive reasoning discovers, but such as existed from the first in the Creators's design and is preserved from that origin to this day in the wonderful nature of animal faculties, I do not believe that even in a snowflake this ordered pattern exists at random.
— Johannes Kepler
Di Nive Sexangula, On the Six-Cornered Snowflake (1611), K18, 1. 6-12. Trans. and ed. Colin Hardie (1966), 33.
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The chief aim of all investigations of the external world should be to discover the rational order and harmony which has been imposed on it by God and which He revealed to us in the language of mathematics.
— Johannes Kepler
Epigraph, without citation, in Morris Kline, Mathematical Thought from Ancient to Modern Times (1972), 231. Need primary source. Can you help?
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The mind comprehends a thing the more correctly the closer the thing approaches toward pure quantity as its origin.
— Johannes Kepler
Letter to Mästlin (19 Apr 1597). In Gerald James Holton, Thematic Origins of Scientific Thought: Kepler to Einstein (1985), 74.
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The roads by which men arrive at their insights into celestial matters seem to me almost as worthy of wonder as those matters themselves.
— Johannes Kepler
Quoted in The Bulletin of the Atomic Scientists (Feb 1959), 59, citing tr. Arthur Koestler, in Encounter (Dec 1958). Also in The Watershed: A Biography of Johannes Kepler (1960), 59.
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The sun alone appears, by virtue of his dignity and power, suited for this motive duty (of moving the planets) and worthy to become the home of God himself.
— Johannes Kepler
As quoted in Änne Bäumer-Schleinkofer, Science and Religion (1989), 10.
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Therefore I chance to think that all Nature and the graceful sky are symbolised in the art of geometry. … Now as God the maker play’d He taught the game to Nature whom He created in His image; taught her the self-same game which He played to her.
— Johannes Kepler
In Tertius Interveniens (1610), as quoted and cited in an epigraph, Jagdish Mehra, Einstein, Hilbert, and The Theory of Gravitation: Historical Origins (1974), 1.
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Those laws [of nature] are within the grasp of the human mind; God wanted us to recognize them by creating us after his own image so that we could share in his own thoughts.
[Seen capsulized as: “I am thinking God’s thoughts after him.”]
— Johannes Kepler
Letter (9/10 Apr 1599) to the Bavarian chancellor Herwart von Hohenburg. Collected in Carola Baumgardt and Jamie Callan, Johannes Kepler Life and Letters (1953), 50. See additional notes with the very short alternate version shown above. Thanks for comparing these two versions go to Ted Davis, Professor of the History of Science, Messiah College.
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Thus God himself was too kind to remain idle, and began to play the game of signatures, signing his likeness into the world; therefore I chance to think that all nature and the graceful sky are symbolized in the art of geometry.
— Johannes Kepler
In Tertius Interveniens (1610), as quoted in Freeman Dyson, 'Mathematics in the Physical Sciences', Scientific American (Sep 1964), 211, No. 3, 129.
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Tycho [Brahe] is a man with whom no one can live without exposing himself to the greatest indignities. The pay is splendid, but one can only extract the half of it. I have thought of turning to medicine.
— Johannes Kepler
As quoted in Willy Ley, Watchers of the Skies (1969) 92.
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We do not ask for what useful purpose the birds do sing, for song is their pleasure since they were created for singing. Similarly, we ought not to ask why the human mind troubles to fathom the secrets of the heavens ... The diversity of the phenomena of Nature is so great, and the treasures hidden in the heavens so rich, precisely in order that the human mind shall never be lacking in fresh nourishment.
— Johannes Kepler
From Mysterium Cosmographicum. Quote as translated in Carl Sagan, Cosmos (1980, 1985), 32.
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We do not ask what hope of gain makes a little bird warble, since we know that it takes delight in singing because it is for that very singing that the bird was made, so there is no need to ask why the human mind undertakes such toil in seeking out these secrets of the heavens. ... And just as other animals, and the human body, are sustained by food and drink, so the very spirit of Man, which is something distinct from Man, is nourished, is increased, and in a sense grows up on this diet of knowledge, and is more like the dead than the living if it is touched by no desire for these things.
— Johannes Kepler
Mysterium Cosmographicum. Translated by A. M. Duncan in The Secret of the Universe (1981), 55.
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What else can the human mind hold besides numbers and magnitudes? These alone we apprehend correctly, and if piety permits to say so, our comprehension is in this case of the same kind as God’s, at least insofar as we are able to understand it in this mortal life.
— Johannes Kepler
As quoted in Epilogue, The Sleepwalkers: A History of Man’s Changing Vision of the Universe (1959), 524.
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What now, dear reader, shall we make of our telescope? Shall we make a Mercury’s magic wand to cross the liquid aether with, and like Lucian lead a colony to the uninhabitied evening star, allured by the sweetness of the place?
— Johannes Kepler
In Preface to Dioptrics (1611), 86. Collected in Galileo Galilei, Johannes Kepler and Edward Stafford Carlos (trans.), The Sidereal Messenger of Galileo Galilei: And a Part of the Preface to Kepler’s Dioptrics (1880), 103.
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When intersected by a plane, the sphere displays in this section the circle, the genuine image of the created mind, placed in command of the body which it is appointed to rule; and this circle is to the sphere as the human mind is to the Mind Divine.
— Johannes Kepler
As quoted in Wolfgang Pauli, 'The Influence of Archetypal Ideas on the Scientific Theories of Kepler', as translated and collected in Writings on Physics and Philosophy (1994), 225. With Latin from Harmonia Mundi, Liber IV, Caput 1, collected in Christian Frisch (ed.), Opera Omnia (1864), Vol. 5, 223: “ plano vero sectum sphaericum circulum sectione repraesentat, mentis creatae, quae corpori regendo sit praefecta, genuinam imaginem, quae in ea proportione sit ad sphaericum, ut est mens humana ad divinam,”
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Why waste words? Geometry existed before the Creation, is co-eternal with the mind of God, is God himself (what exists in God that is not God himself?); geometry provided God with a model for the Creation and was implanted into man, together with God’s own likeness—and not merely conveyed to his mind through the eyes.
— Johannes Kepler
From Harmonice Mundi, Lib. IV, Cap. I, Gesammelte Werke, Vol. VI, as quoted and cited in an epigraph, Jagdish Mehra, Einstein, Hilbert, and The Theory of Gravitation: Historical Origins (1974), 1.
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Yet in this my stars were not Mercury as morning star in the angle of the seventh house, in quartile with Mars, but they were Copernicus, they were Tycho Brahe, without whose books of observations everything which has now been brought by me into the brightest daylight would lie buried in darkness.
— Johannes Kepler
Harmonice Mundi, The Harmony of the World (1619), book IV, Epilogue on Sublunary Nature. Trans. E. J. Aiton, A. M. Duncan and J. V. Field (1997), 377.
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Quotes by others about Johannes Kepler (38)

Copernicus, who rightly did condemn
This eldest systeme, form’d a wiser scheme;
In which he leaves the Sun at Rest, and rolls
The Orb Terrestial on its proper Poles;
Which makes the Night and Day by this Career,
And by its slow and crooked Course the Year.
The famous Dane, who oft the Modern guides,
To Earth and Sun their Provinces divides:
The Earth’s Rotation makes the Night and Day,
The Sun revolving through th’ Eccliptic Way
Effects the various seasons of the Year,
Which in their Turn for happy Ends appear.
This Scheme or that, which pleases best, embrace,
Still we the Fountain of their Motion trace.
Kepler asserts these Wonders may be done
By the Magnetic Vertue of the Sun,
Which he, to gain his End, thinks fit to place
Full in the Center of that mighty Space,
Which does the Spheres, where Planets roll, include,
And leaves him with Attractive Force endu’d.
The Sun, thus seated, by Mechanic Laws,
The Earth, and every distant Planet draws;
By which Attraction all the Planets found
Within his reach, are turn'd in Ether round.
In Creation: A Philosophical Poem in Seven Books (1712), book 2, l. 430-53, p.78-9.
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All Science is necessarily prophetic, so truly so, that the power of prophecy is the test, the infallible criterion, by which any presumed Science is ascertained to be actually & verily science. The Ptolemaic Astronomy was barely able to prognosticate a lunar eclipse; with Kepler and Newton came Science and Prophecy.
On the Constitution of the Church and State (1830). In The Collected Works of Samuel Taylor Coleridge (1976), John Cohner (ed.), Vol. 10, 118, footnote 1 on Coleridge's annotation.
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The sublime discoveries of Newton, and, together with these, his not less fruitful than wonderful application, of the higher mathesis to the movement of the celestial bodies, and to the laws of light, gave almost religious sanction to the corpuscular system and mechanical theory. It became synonymous with philosophy itself. It was the sole portal at which truth was permitted to enter. The human body was treated an hydraulic machine... In short, from the time of Kepler to that of Newton, and from Newton to Hartley, not only all things in external nature, but the subtlest mysteries of life, organization, and even of the intellect and moral being, were conjured within the magic circle of mathematical formulae.
Hints Towards the Formation of a more Comprehensive Theory of Life (1848). In The Collected Works of Samuel Taylor Coleridge: Shorter Works and Fragments (1995), H. J. Jackson and J. R. de J. Jackson (eds.), Vol. 11, 1, 498.
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It is a vulgar belief that our astronomical knowledge dates only from the recent century when it was rescued from the monks who imprisoned Galileo; but Hipparchus…who among other achievements discovered the precession of the eqinoxes, ranks with the Newtons and the Keplers; and Copernicus, the modern father of our celestial science, avows himself, in his famous work, as only the champion of Pythagoras, whose system he enforces and illustrates. Even the most modish schemes of the day on the origin of things, which captivate as much by their novelty as their truth, may find their precursors in ancient sages, and after a careful analysis of the blended elements of imagination and induction which charaterise the new theories, they will be found mainly to rest on the atom of Epicurus and the monad of Thales. Scientific, like spiritual truth, has ever from the beginning been descending from heaven to man.
Lothair (1879), preface, xvii.
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What a deep faith in the rationality of the structure of the world and what a longing to understand even a small glimpse of the reason revealed in the world there must have been in Kepler and Newton to enable them to unravel the mechanism of the heavens in long years of lonely work!
'Religion and Science', The New York Times (9 Nov 1930), Sunday Magazine, 1.
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The strangest thing of all is that our ulama these days have divided science into two parts. One they call Muslim science, and one European science. Because of this they forbid others to teach some of the useful sciences. They have not understood that science is that noble thing that has no connection with any nation, and is not distinguished by anything but itself. Rather, everything that is known is known by science, and every nation that becomes renowned becomes renowned through science. Men must be related to science, not science to men. How very strange it is that the Muslims study those sciences that are ascribed to Aristotle with the greatest delight, as if Aristotle were one of the pillars of the Muslims. However, if the discussion relates to Galileo, Newton, and Kepler, they consider them infidels. The father and mother of science is proof, and proof is neither Aristotle nor Galileo. The truth is where there is proof, and those who forbid science and knowledge in the belief that they are safeguarding the Islamic religion are really the enemies of that religion. Lecture on Teaching and Learning (1882).
In Nikki R. Keddie, An Islamic Response to Imperialism (1983), 107.
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[P]olitical and social and scientific values … should be correlated in some relation of movement that could be expressed in mathematics, nor did one care in the least that all the world said it could not be done, or that one knew not enough mathematics even to figure a formula beyond the schoolboy s=(1/2)gt2. If Kepler and Newton could take liberties with the sun and moon, an obscure person ... could take liberties with Congress, and venture to multiply its attraction into the square of its time. He had only to find a value, even infinitesimal, for its attraction.
The Education of Henry Adams: An Autobiography? (1918), 376.
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[Newton wrote to Halley … that he would not give Hooke any credit] That, alas, is vanity. You find it in so many scientists. You know, it has always hurt me to think that Galileo did not acknowledge the work of Kepler.
In I. Bernard Cohen, 'An Interview with Einstein', in Anthony Philip French (ed.), Einstein: A Centenary Volume (1979), 41. Cited in Timothy Ferris, Coming of Age in the Milky Way (2003), 94-95.
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I do not think that G. H. Hardy was talking nonsense when he insisted that the mathematician was discovering rather than creating, nor was it wholly nonsense for Kepler to exult that he was thinking God's thoughts after him. The world for me is a necessary system, and in the degree to which the thinker can surrender his thought to that system and follow it, he is in a sense participating in that which is timeless or eternal.
'Reply to Lewis Edwin Hahn', The Philosophy of Brand Blanshard (1980), 901.
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Foreshadowings of the principles and even of the language of [the infinitesimal] calculus can be found in the writings of Napier, Kepler, Cavalieri, Pascal, Fermat, Wallis, and Barrow. It was Newton's good luck to come at a time when everything was ripe for the discovery, and his ability enabled him to construct almost at once a complete calculus.
In History of Mathematics (3rd Ed., 1901), 366.
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After a duration of a thousand years, the power of astrology broke down when, with Copernicus, Kepler, and Galileo, the progress of astronomy overthrew the false hypothesis upon which the entire structure rested, namely the geocentric system of the universe. The fact that the earth revolves in space intervened to upset the complicated play of planetary influences, and the silent stars, related to the unfathomable depths of the sky, no longer made their prophetic voices audible to mankind. Celestial mechanics and spectrum analysis finally robbed them of their mysterious prestige.
Franz Cumont, translated by J.B. Baker, Astrology and Religion Among the Greeks and Romans (1912, 2007), 6.
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But just as astronomy succeeded astrology, following Kepler's discovery of planetary regularities, the discoveries of these many principles in empirical explorations of intellectual processes in machines should lead to a science, eventually.
[Co-author with South African mathematician, Seymour Papert (1928- )]
Artificial Intelligence (1973), 25.
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In the beginning of the year 1665 I found the Method of approximating series & the Rule for reducing any dignity of any Bionomial into such a series. The same year in May I found the method of Tangents of Gregory & Slusius, & in November had the direct method of fluxions & the next year in January had the Theory of Colours & in May following I had entrance into ye inverse method of fluxions. And the same year I began to think of gravity extending to ye orb of the Moon & (having found out how to estimate the force with wch [a] globe revolving within a sphere presses the surface of the sphere) from Keplers rule of the periodic times of the Planets being in sesquialterate proportion of their distances from the center of their Orbs, I deduced that the forces wch keep the Planets in their Orbs must [be] reciprocally as the squares of their distances from the centers about wch they revolve: & thereby compared the force requisite to keep the Moon in her Orb with the force of gravity at the surface of the earth, & found them answer pretty nearly. All this was in the two plague years of 1665-1666. For in those days I was in the prime of my age for invention & minded Mathematicks & Philosophy more then than at any time since.
Quoted in Richard Westfall, Never at Rest: A Biography of Isaac Newton (1980), 143.
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Kepler’s laws, although not rigidly true, are sufficiently near to the truth to have led to the discovery of the law of attraction of the bodies of the solar system. The deviation from complete accuracy is due to the facts, that the planets are not of inappreciable mass, that, in consequence, they disturb each other's orbits about the Sun, and, by their action on the Sun itself, cause the periodic time of each to be shorter than if the Sun were a fixed body, in the subduplicate ratio of the mass of the Sun to the sum of the masses of the Sun and Planet; these errors are appreciable although very small, since the mass of the largest of the planets, Jupiter, is less than 1/1000th of the Sun's mass.
In Isaac Newton and Percival Frost (ed.) Newton’s Principia: Sections I, II, III (1863), 216.
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Kepler’s discovery would not have been possible without the doctrine of conics. Now contemporaries of Kepler—such penetrating minds as Descartes and Pascal—were abandoning the study of geometry ... because they said it was so UTTERLY USELESS. There was the future of the human race almost trembling in the balance; for had not the geometry of conic sections already been worked out in large measure, and had their opinion that only sciences apparently useful ought to be pursued, the nineteenth century would have had none of those characters which distinguish it from the ancien régime.
From 'Lessons from the History of Science: The Scientific Attitude' (c.1896), in Collected Papers (1931), Vol. 1, 32.
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It is no way derogatory to Newton, or Kepler, or Galileo, that Science in these days should have advanced far beyond them. Rather is this itself their crown of glory. Their works are still bearing fruit, and will continue to do so. The truths which they discovered are still living in our knowledge, pregnant with infinite consequences.
Co-author with his brother Augustus William Hare Guesses At Truth, By Two Brothers: Second Edition: With Large Additions (1848), Second Series, 251. (The volume is introduced as “more than three fourths new.” This quote is identified as by Julius; Augustus had died in 1833.)
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I wish, my dear Kepler, that we could have a good laugh together at the extraordinary stupidity of the mob. What do you think of the foremost philosophers of this University? In spite of my oft-repeated efforts and invitations, they have refused, with the obstinacy of a glutted adder, to look at the planets or the Moon or my glass [telescope].
Opere ed Nas. X, 423. As cited in Alan Mackay, A Dictionary of Scientific Quotations (1991), 99. Galileo wished others to use his telescope to see for themselves the moons of Jupiter which he had himself first seen in Jan 1610. If you have a primary source for this letter giving the date it was written, please contact Webmaster.
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Oh, my dear Kepler, how I wish that we could have one hearty laugh together. Here, at Padua, is the principal professor of philosophy, whom I have repeatedly and urgently requested to look at the moon and planets through my glass, [telescope] which he pertinaciously refuses to do. Why are you not here? what shouts of laughter we should have at this glorious folly! and to hear the professor of philosophy at Pisa laboring before the grand duke with logical arguments, as if with magical incantations, to charm the new planets out of the sky.
From Letter to Johannes Kepler. As translated in John Elliot Drinkwater Bethune, Life of Galileo Galilei: With Illustrations of the Advancement of Experimental Philosophy (1832), 92-93.
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A taxonomy of abilities, like a taxonomy anywhere else in science, is apt to strike a certain type of impatient student as a gratuitous orgy of pedantry. Doubtless, compulsions to intellectual tidiness express themselves prematurely at times, and excessively at others, but a good descriptive taxonomy, as Darwin found in developing his theory, and as Newton found in the work of Kepler, is the mother of laws and theories.
From Intelligence: Its Structure, Growth and Action: Its Structure, Growth and Action (1987), 61.
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Before Kepler, all men were blind, Kepler had one eye, and Newton had two eyes.
From Voltaire’s Notebooks (1952), 63. As translated in Peter Gay, The Enlightenment: The Science of Freedom (1996), 131. From the original French: “Avant Kepler tous les hommes étoent aveugles, Kepler fut borgne, et Newton a eu deux yeux.”
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[Kepler] had to realize clearly that logical-mathematical theoretizing, no matter how lucid, could not guarantee truth by itself; that the most beautiful logical theory means nothing in natural science without comparison with the exactest experience. Without this philosophic attitude, his work would not have been possible.
From Introduction that Einstein wrote for Carola Baumgardt and Jamie Callan, Johannes Kepler Life and Letters (1953), 13.
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Simple as the law of gravity now appears, and beautifully in accordance with all the observations of past and of present times, consider what it has cost of intellectual study. Copernicus, Galileo, Kepler, Euler, Lagrange, Laplace, all the great names which have exalted the character of man, by carrying out trains of reasoning unparalleled in every other science; these, and a host of others, each of whom might have been the Newton of another field, have all labored to work out, the consequences which resulted from that single law which he discovered. All that the human mind has produced—the brightest in genius, the most persevering in application, has been lavished on the details of the law of gravity.
in The Ninth Bridgewater Treatise: A Fragment (1838), 57.
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Undeterred by poverty, failure, domestic tragedy, and persecution, but sustained by his mystical belief in an attainable mathematical harmony and perfection of nature, Kepler persisted for fifteen years before finding the simple regularity [of planetary orbits] he sought… . What stimulated Kepler to keep slaving all those fifteen years? An utter absurdity. In addition to his faith in the mathematical perfectibility of astronomy, Kepler also believed wholeheartedly in astrology. This was nothing against him. For a scientist of Kepler’s generation astrology was as respectable scientifically and mathematically as the quantum theory or relativity is to theoretical physicists today. Nonsense now, astrology was not nonsense in the sixteenth century.
In The Handmaiden of the Sciences (1937), 30.
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I have written many direct and indirect arguments for the Copernican view, but until now I have not dared to publish them, alarmed by the fate of Copernicus himself, our master. He has won for himself undying fame in the eyes of a few, but he has been mocked and hooted at by an infinite multitude (for so large is the number of fools). I would dare to come forward publicly with my ideas if there were more people of your [Johannes Kepler’s] way of thinking. As this is not the case, I shall refrain.
Letter to Kepler (4 Aug 1597). In James Bruce Ross (ed.) and Mary Martin (ed., trans.), 'Comrades in the Pursuit of Truth', The Portable Renaissance Reader (1953, 1981), 597-599. As quoted and cited in Merry E. Wiesner, Early Modern Europe, 1450-1789 (2013), 377.
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What makes planets go around the sun? At the time of Kepler, some people answered this problem by saying that there were angels behind them beating their wings and pushing the planets around an orbit. As you will see, the answer is not very far from the truth. The only difference is that the angels sit in a different direction and their wings push inward.
In The Character of Physical Law (1965), 18.
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Napoleon and other great men were makers of empires, but these eight men whom I am about to mention were makers of universes and their hands were not stained with the blood of their fellow men. I go back 2,500 years and how many can I count in that period? I can count them on the fingers of my two hands. Pythagoras, Ptolemy, Kepler, Copernicus, Aristotle, Galileo, Newton and Einstein—and I still have two fingers left vacant.
Speech (28 Oct 1930) at the Savoy Hotel, London in Einstein’s honor sponsored by a committee to help needy Jews in Eastern Europe. In Albert Einstein, Cosmic Religion: With Other Opinions and Aphorisms (1931), 31.
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Astronomy was not studied by Kepler, Galileo, or Newton for the practical applications which might result from it, but to enlarge the bounds of knowledge, to furnish new objects of thought and contemplation in regard to the universe of which we form a part; yet how remarkable the influence which this science, apparently so far removed from the sphere of our material interests, has exerted on the destinies of the world!
In 'Report of the Secretary', Annual Report of the Board of Regents of the Smithsonian Institution for 1859 (1860), 15.
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[There was] in some of the intellectual leaders a great aspiration to demonstrate that the universe ran like a piece of clock-work, but this was was itself initially a religious aspiration. It was felt that there would be something defective in Creation itself—something not quite worthy of God—unless the whole system of the universe could be shown to be interlocking, so that it carried the pattern of reasonableness and orderliness. Kepler, inaugurating the scientist’s quest for a mechanistic universe in the seventeenth century, is significant here—his mysticism, his music of the spheres, his rational deity demand a system which has the beauty of a piece of mathematics.
In The Origins of Modern Science (1950), 105.
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Children are told that an apple fell on Isaac Newton’s head and he was led to state the law of gravity. This, of course, is pure foolishness. What Newton discovered was that any two particles in the universe attract each other with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them. This is not learned from a falling apple, but by observing quantities of data and developing a mathematical theory that can be verified by additional data. Data gathered by Galileo on falling bodies and by Johannes Kepler on motions of the planets were invaluable aids to Newton. Unfortunately, such false impressions about science are not universally outgrown like the Santa Claus myth, and some people who don’t study much science go to their graves thinking that the human race took until the mid-seventeenth century to notice that objects fall.
In How to Tell the Liars from the Statisticians (1983), 127.
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Kepler’s principal goal was to explain the relationship between the existence of five planets (and their motions) and the five regular solids. It is customary to sneer at Kepler for this. … It is instructive to compare this with the current attempts to “explain” the zoology of elementary particles in terms of irreducible representations of Lie groups.
In Celestial Mechanics (1969), Vol. 1, 95.
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Endowed with two qualities, which seemed incompatible with each other, a volcanic imagination and a pertinacity of intellect which the most tedious numerical calculations could not daunt, Kepler conjectured that the movements of the celestial bodies must be connected together by simple laws, or, to use his own expression, by harmonic laws. These laws he undertook to discover. A thousand fruitless attempts, errors of calculation inseparable from a colossal undertaking, did not prevent him a single instant from advancing resolutely toward the goal of which he imagined he had obtained a glimpse. Twenty-two years were employed by him in this investigation, and still he was not weary of it! What, in reality, are twenty-two years of labor to him who is about to become the legislator of worlds; who shall inscribe his name in ineffaceable characters upon the frontispiece of an immortal code; who shall be able to exclaim in dithyrambic language, and without incurring the reproach of anyone, “The die is cast; I have written my book; it will be read either in the present age or by posterity, it matters not which; it may well await a reader, since God has waited six thousand years for an interpreter of his words.”
In 'Eulogy on Laplace', in Smithsonian Report for the year 1874 (1875), 131-132.
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Kepler’s suggestion of gravitation with the inverse distance, and Bouillaud’s proposed substitution of the inverse square of the distance, are things which Newton knew better than his modern readers. I have discovered two anagrams on his name, which are quite conclusive: the notion of gravitation was not new; but Newton went on.
In Budget of Paradoxes (1872), 82.
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That mathematics “do not cultivate the power of generalization,”; … will be admitted by no person of competent knowledge, except in a very qualified sense. The generalizations of mathematics, are, no doubt, a different thing from the generalizations of physical science; but in the difficulty of seizing them, and the mental tension they require, they are no contemptible preparation for the most arduous efforts of the scientific mind. Even the fundamental notions of the higher mathematics, from those of the differential calculus upwards are products of a very high abstraction. … To perceive the mathematical laws common to the results of many mathematical operations, even in so simple a case as that of the binomial theorem, involves a vigorous exercise of the same faculty which gave us Kepler’s laws, and rose through those laws to the theory of universal gravitation. Every process of what has been called Universal Geometry—the great creation of Descartes and his successors, in which a single train of reasoning solves whole classes of problems at once, and others common to large groups of them—is a practical lesson in the management of wide generalizations, and abstraction of the points of agreement from those of difference among objects of great and confusing diversity, to which the purely inductive sciences cannot furnish many superior. Even so elementary an operation as that of abstracting from the particular configuration of the triangles or other figures, and the relative situation of the particular lines or points, in the diagram which aids the apprehension of a common geometrical demonstration, is a very useful, and far from being always an easy, exercise of the faculty of generalization so strangely imagined to have no place or part in the processes of mathematics.
In An Examination of Sir William Hamilton’s Philosophy (1878), 612-13.
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It has been said that no science is established on a firm basis unless its generalisations can be expressed in terms of number, and it is the special province of mathematics to assist the investigator in finding numerical relations between phenomena. After experiment, then mathematics. While a science is in the experimental or observational stage, there is little scope for discerning numerical relations. It is only after the different workers have “collected data” that the mathematician is able to deduce the required generalisation. Thus a Maxwell followed Faraday and a Newton completed Kepler.
In Higher Mathematics for Students of Chemistry and Physics (1902), 3.
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He [Lord Bacon] appears to have been utterly ignorant of the discoveries which had just been made by Kepler’s calculations … he does not say a word about Napier’s Logarithms, which had been published only nine years before and reprinted more than once in the interval. He complained that no considerable advance had been made in Geometry beyond Euclid, without taking any notice of what had been done by Archimedes and Apollonius. He saw the importance of determining accurately the specific gravities of different substances, and himself attempted to form a table of them by a rude process of his own, without knowing of the more scientific though still imperfect methods previously employed by Archimedes, Ghetaldus and Porta. He speaks of the εὕρηκα of Archimedes in a manner which implies that he did not clearly appreciate either the problem to be solved or the principles upon which the solution depended. In reviewing the progress of Mechanics, he makes no mention either of Archimedes, or Stevinus, Galileo, Guldinus, or Ghetaldus. He makes no allusion to the theory of Equilibrium. He observes that a ball of one pound weight will fall nearly as fast through the air as a ball of two, without alluding to the theory of acceleration of falling bodies, which had been made known by Galileo more than thirty years before. He proposed an inquiry with regard to the lever,—namely, whether in a balance with arms of different length but equal weight the distance from the fulcrum has any effect upon the inclination—though the theory of the lever was as well understood in his own time as it is now. … He speaks of the poles of the earth as fixed, in a manner which seems to imply that he was not acquainted with the precession of the equinoxes; and in another place, of the north pole being above and the south pole below, as a reason why in our hemisphere the north winds predominate over the south.
From Spedding’s 'Preface' to De Interpretations Naturae Proœmium, in The Works of Francis Bacon (1857), Vol. 3, 511-512. [Note: the Greek word “εὕρηκα” is “Eureka” —Webmaster.]
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The pioneering practitioners of the new science [of the seventeenth century] knew that they were producing a new kind of knowledge and so they declared this newness in the titles of their books and articles. Thus we have Galileo’s Two New Sciences, Boyle’s New Experiments, Kepler’s New Astronomy, and Tartaglia’s New Science.
From The Triumph of Numbers: How Counting Shaped Modern Life (2005), 36.
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Newton turned naturally to astronomy because it was the subject of his day, and it was so because finding one’s way at sea had long been a practical preoccupation of the society into which he was born. It should be added, mischievously, that astronomy also had some standing because it was used very practically to cast horoscopes. (Kepler used it for this purpose…)
In 'The Creative Mind', Science and Human Values (1956, 1972), 7.
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Long ago it was said: If Tycho had had instruments ten times as precise, we would never have had a Kepler, or a Newton, or Astronomy.
In La Science et l’Hypothèse (1901, 1908), 211, as translated in Henri Poincaré and William John Greenstreet (trans.), Science and Hypothesis (1902, 1905), 181. From the original French, “Il y a longtemps qu’on l’a dit: Si Tycho avait eu des instruments dix fois plus précis, il n’y aurait jamais eu ni Képler, ni Newton, ni Astronomie.”
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Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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